The reduction of tumour control with increasing overall time: mathematical considerations

The British Journal of Radiology
B Jones, R G Dale

Abstract

The rate of loss of tumour control (dP/dt) with extension of treatment time is analysed to assess the relative contributions of radiobiological parameters (radiosensitivity, clonogen doubling time, clonogen numbers and fractionation schedule) on such loss. Linear quadratic modelling and Poisson statistics are used to study individual tumour responses. A heterogeneous tumour population is constructed by the use of random sampling techniques to allow for variations in intrinsic radiosensitivity and clonogen doubling times. Average tumour control probability is calculated for this population for two different fractionation schedules (60 Gy in 30 fractions and 50 Gy in 15 fractions), each given over 15-60 days. The magnitude of dP/dt will depend upon the tumour cure probability (P): the loss of control will be most significant for tumours which have a cure of 37% when the Poisson survival model is used. The analysis suggests that compensation for short unscheduled treatment gaps (e.g. by increasing the total dose or rescheduling with use of weekend treatment sessions) may only be required for difficult tumours (i.e. radioresistant and/or with short clonogen doubling times). Where pre-treatment clonogen numbers are relatively low as...Continue Reading

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Citations

Oct 13, 2015·Clinical Oncology : a Journal of the Royal College of Radiologists·R Alonzi
Dec 22, 1999·Acta Oncologica·B Jones, R G Dale
May 21, 2009·Journal of Radiological Protection : Official Journal of the Society for Radiological Protection·Bleddyn Jones
Jul 25, 2020·Annals of Oncology : Official Journal of the European Society for Medical Oncology·A PrettaF Sclafani

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